Purchase Solution

Radius of Convergence of the Power Series

Not what you're looking for?

Ask Custom Question

Complex Variable
Radius of Convergence of the Power Series

∞ ∞
Theorem:- ∑ anzn is a power series and ∑ nanzn - 1 is the power series obtained
n=0 n=0
by differentiating the first series term by term.
Then the derived series has the same radius of convergence as the original series.

See the attached file.

Purchase this Solution

Solution Summary

This solution is comprised of a detailed explanation of the radius of convergence of the function. The radius of convergence of the power series are determined.

Solution Preview

Complex Variable
Radius of Convergence of the Power Series

Solution provided by:
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.